Using the flux splitting and high resolution schemes for soliton and shockwave solutions

Authors:
R. Naidoo
Affiliations:
Department of Mathematics, Durban University of Technology, Durban, South Africa
Venue:
ICCOMP'08 Proceedings of the 12th WSEAS international conference on Computers
Year:
2008

Citing 3
Cited 0

Numerical computation of internal & external flows: fundamentals of numerical discretization

Numerical computation of internal & external flows: fundamentals of numerical discretization
Non-oscillatory central differencing for hyperbolic conservation laws

Journal of Computational Physics
Numerical integration of the plasma fluid equations with a modification of the second-order Nessyahu-Tadmor central scheme and soliton modeling

Mathematics and Computers in Simulation - Special issue: Nonlinear waves: computation and theory IV

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Abstract

A splitting scheme is used for a numerical solution of a hyperbolic system of one dimensional electrostatic plasma fluid equations. Illustrations as to how the splitting method captures the formation and evolution of ion acoustic solitons and shockwaves were performed. In this study we perform a comparison between a fully discrete NNT high resolution scheme and the splitting scheme which is constructed in the present study. The results indicate that the splitting scheme demonstrates clear superiority over the second order NNT scheme in the soliton solution where the numerical noise of the electron is reduced significantly. For the shock wave solution the NNT scheme is slightly better to the splitting scheme which exhibits a little oscillation at the contact. However the splitting scheme exhibit a smaller computational time than the NNT scheme.